Jawab:
Nilai x dan y masing-masing adalah 10 dan 4
Penjelasan dengan langkah-langkah:
Misal :
Num of Major Hurricanes = m
Num of Years = n
∑(m×n) = (0 × 5) + (1 × 13) + (2 × 15) + (3 × x) + (4 × 1) + (5 × y) + (6 × 2)
∑(m×n) = 0 + 13 + 30 + 3x + 4 + 5y + 12
∑(m×n) = 3x + 5y + 59
Jumlah Num of Years = ∑n = 50
5 + 13 + 15 + x + 1 + y + 2 = 50
36 + x + y = 50
x + y = 50 - 36
x + y = 14
y = 14 - x ...... (i)
Rata-Rata = ∑ (m×n) ÷ ∑n
2,18 = ∑ (m×n) ÷ 50
∑ (m×n) = 2,18 × 50 = 109
3x + 5y + 59 = 109
3x + 5y = 109 - 59
3x + 5y = 50 ..... (ii)
Subtitusikan (i) ke (ii)
3x + 5y = 50
3x + 5.(14 - x) = 50
3x + 70 - 5x = 50
70 - 2x = 50
-2x = 50 - 70
-2x = -20
x = 10
y = 14 - x = 14 - 10 = 4.
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Jawab:
Nilai x dan y masing-masing adalah 10 dan 4
Penjelasan dengan langkah-langkah:
Misal :
Num of Major Hurricanes = m
Num of Years = n
∑(m×n) = (0 × 5) + (1 × 13) + (2 × 15) + (3 × x) + (4 × 1) + (5 × y) + (6 × 2)
∑(m×n) = 0 + 13 + 30 + 3x + 4 + 5y + 12
∑(m×n) = 3x + 5y + 59
Jumlah Num of Years = ∑n = 50
5 + 13 + 15 + x + 1 + y + 2 = 50
36 + x + y = 50
x + y = 50 - 36
x + y = 14
y = 14 - x ...... (i)
Rata-Rata = ∑ (m×n) ÷ ∑n
2,18 = ∑ (m×n) ÷ 50
∑ (m×n) = 2,18 × 50 = 109
3x + 5y + 59 = 109
3x + 5y = 109 - 59
3x + 5y = 50 ..... (ii)
Subtitusikan (i) ke (ii)
3x + 5y = 50
3x + 5.(14 - x) = 50
3x + 70 - 5x = 50
70 - 2x = 50
-2x = 50 - 70
-2x = -20
x = 10
y = 14 - x = 14 - 10 = 4.
Nilai x dan y masing-masing adalah 10 dan 4